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2472030 = 2325112227
BaseRepresentation
bin1001011011100001011110
311122120222200
421123201132
51113101110
6124552330
730004041
oct11334136
94576880
102472030
111439300
129b26a6
13687252
14484c58
1533c6c0
hex25b85e

2472030 has 72 divisors (see below), whose sum is σ = 7095816. Its totient is φ = 596640.

The previous prime is 2472023. The next prime is 2472037. The reversal of 2472030 is 302742.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2472023) and next prime (2472037).

It is a super-2 number, since 2×24720302 = 12221864641800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2471994 and 2472012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10777 + ... + 11003.

It is an arithmetic number, because the mean of its divisors is an integer number (98553).

22472030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547908).

2472030 is an abundant number, since it is smaller than the sum of its proper divisors (4623786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2472030 is a wasteful number, since it uses less digits than its factorization.

2472030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2472030 is about 1572.2690609435. The cubic root of 2472030 is about 135.2128330080.

Adding to 2472030 its reverse (302742), we get a palindrome (2774772).

The spelling of 2472030 in words is "two million, four hundred seventy-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 227 242 330 363 454 495 605 681 726 990 1089 1135 1210 1362 1815 2043 2178 2270 2497 3405 3630 4086 4994 5445 6810 7491 10215 10890 12485 14982 20430 22473 24970 27467 37455 44946 54934 74910 82401 112365 137335 164802 224730 247203 274670 412005 494406 824010 1236015 2472030